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Finding the Fourth Proportional to 13,846.46, 19,107.68 and 7,878.96

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Solution

The fourth proportional to 13,846.46, 19,107.68 and 7,878.96 is: 10,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.46 : 19,107.68 = 7,878.96 : x
  2. Step 2: Convert to fraction form
    13,846.46/19,107.68 = 7,878.96/x
  3. Step 3: Cross multiply
    13,846.46x = 19,107.68 × 7,878.96
  4. Step 4: Simplify right side
    13,846.46x = 150,548,607.02
  5. Step 5: Solve for x
    x = 150,548,607.02/13,846.46
  6. Step 6: Final answer
    x = 10,872.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.